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Masteriza [31]
3 years ago
13

1.Simplify the following Expression a. 5y^2+ 3y – 13 + 6x – 3y + 6y^2

Mathematics
1 answer:
insens350 [35]3 years ago
6 0

Simplified expression is 11y² + 6x - 13

Step-by-step explanation:

  • Step 1: Simplify 5y² + 3y - 13 + 6x - 3y + 6y²

5y² + 3y - 13 + 6x - 3y + 6y² = 11y² + 6x - 13

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How many gallons of a 50% antifreeze solution must be mixed with 60 gallons of 30% antifreeze to get a mixture that is 40% antif
Mariulka [41]

I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.

Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.

Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.

We want the concentration of antifreeze to be 40% in the new solution, so we need to have

(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4

Solve for <em>x</em> :

0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)

0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24

0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18

0.1 <em>x</em> = 6

<em>x</em> = 6/0.1 = 60 gal

6 0
3 years ago
Conditional Probability Assistance?
krek1111 [17]

Let the event A=\{ Sophomore \}, B=\{ Boy \}

The the probability of the events

P(A \cap B)=\frac{5}{12+18} =\frac{1}{6}

P( B)=\frac{12}{12+18} =\frac{2}{5}

The conditional probability

P(Sophomore|Boy)=P(A|B)=\frac{P(A \cap B)}{P(B)} =\frac{1/6}{2/5} =\frac{5}{12}

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3 years ago
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nataly862011 [7]
It is 3.75 for the answer



8 0
3 years ago
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A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 35 of the sala
balu736 [363]
The restaurants sold 50 salads.

-The given is that they sold 35 garden salads which is 70% of their sales.
-Now, to get how many salads 1% is equal to, you divide 35 by 70
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-So now, multiply 16 by 0.5 and 14 by 0.5
-16(0.5)=8 and 14(0.5)=7
-Add the three together to get 50
-Now, check to see if it works
70% of 50 is 35
16% of 50 is 8
14% of 50 is 7

Hope this helps and is right, have a good day!
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Find the inverse of 3y = 3x - 6. Write your answer in y = form with no spaces to increase the chance of auto grade working.
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Hope the shown work helps!

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